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Finding the Fourth Proportional to 2,833.76, 4,268.60 and 2,620

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Solution

The fourth proportional to 2,833.76, 4,268.60 and 2,620 is: 3,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.76 : 4,268.60 = 2,620 : x
  2. Step 2: Convert to fraction form
    2,833.76/4,268.60 = 2,620/x
  3. Step 3: Cross multiply
    2,833.76x = 4,268.60 × 2,620
  4. Step 4: Simplify right side
    2,833.76x = 11,183,732.00
  5. Step 5: Solve for x
    x = 11,183,732.00/2,833.76
  6. Step 6: Final answer
    x = 3,946.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.